Pearson Algebra 1 Common Core, 2015
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Pearson Algebra 1 Common Core, 2015 View details
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Exercise 1 Page 719

Consider the general form of an inverse variation.

x y = 4 or y = 4/x

Practice makes perfect
We will begin by recalling the general form of an inverse variation. x y = k or y = k/xIn this form, k is the constant of variation and ( x, y) is an ordered pair. We are given that the point ( 2, 2) satisfies the inverse variation. Let's substitute this point into the equation to find k.
x y = k
2( 2) = k
4 = k
k = 4
Now that we have the value of k, we can write an equation for the inverse variation. x y = 4 ⇔ y = 4/x